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68022960 = 24352312323
BaseRepresentation
bin1000000110111…
…11001010110000
311201222220221220
410003133022300
5114403213320
610425545040
71454120445
oct403371260
9151886856
1068022960
1135440725
121a945180
1311128995
1490699cc
155e89e40
hex40df2b0

68022960 has 80 divisors (see below), whose sum is σ = 220057344. Its totient is φ = 17349376.

The previous prime is 68022923. The next prime is 68022989. The reversal of 68022960 is 6922086.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642 + ... + 11681.

Almost surely, 268022960 is an apocalyptic number.

68022960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110028672).

68022960 is an abundant number, since it is smaller than the sum of its proper divisors (152034384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68022960 is a wasteful number, since it uses less digits than its factorization.

68022960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12362 (or 12356 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 68022960 is about 8247.6032882286. The cubic root of 68022960 is about 408.2114436504.

The spelling of 68022960 in words is "sixty-eight million, twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 12323 24646 36969 49292 61615 73938 98584 123230 147876 184845 197168 246460 283429 295752 369690 492920 566858 591504 739380 850287 985840 1133716 1417145 1478760 1700574 2267432 2834290 2957520 3401148 4251435 4534864 5668580 6802296 8502870 11337160 13604592 17005740 22674320 34011480 68022960